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quant-ph2025
Quantum Algorithms for Solving Generalized Linear Systems via Momentum Accelerated Gradient and Schrödingerization
Qitong Hu, Xiaoyang He, Shi Jin +1
In this paper, we propose a quantum algorithm that combines the momentum accelerated gradient method with Schrödingerization [S. Jin, N. Liu and Y. Yu, Phys. Rev. Lett, 133 (2024),…
quant-ph2025
Quantum simulation of multiscale linear transport equations via Schrödingerization and exponential integrators
Xiaoyang He, Shi Jin
In this paper, we present two Hamiltonian simulation algorithms for multiscale linear transport equations, combining the Schrödingerization method [S. Jin, N. Liu and Y. Yu, Phys.…
quant-ph2025
Quantum simulation of elastic wave equations via Schrödingerisation
Shi Jin, Chundan Zhang
In this paper we study quantum simulation algorithms on the elastic wave equations using the Schrödingerisation method. The Schrödingerisation method transforms any linear PDEs int…